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anonymous

6 years ago

Okay first you need to calculate the equation of the line, for that you need the gradient of the line passing through the two points.
\[m = (y _{2} - y_{1}) \div (x _{2} - x_{1})\]
where m is the gradient. Using this, you can select any of the points and compute gradient. The gradient is, m = 3/4
Now you use the general form of a linear equation to find the equation of the line:
\[y - y_{1} = m(x - x_{1})\]
You leave x and y as they are and select ONE of the point sets to be x1 and y1
Hence you get y-5 = 0.75(x-4)
y-5 = 0.75x - 3
y = 0.75x + 2
Remember, on the y axis, x=0
So the y-intercept is 2